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Simplifying (4c + 5) = (7c + -13) Reorder the terms: (5 + 4c) = (7c + -13) Remove parenthesis around (5 + 4c) 5 + 4c = (7c + -13) Reorder the terms: 5 + 4c = (-13 + 7c) Remove parenthesis around (-13 + 7c) 5 + 4c = -13 + 7c Solving 5 + 4c = -13 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 5 + 4c + -7c = -13 + 7c + -7c Combine like terms: 4c + -7c = -3c 5 + -3c = -13 + 7c + -7c Combine like terms: 7c + -7c = 0 5 + -3c = -13 + 0 5 + -3c = -13 Add '-5' to each side of the equation. 5 + -5 + -3c = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -3c = -13 + -5 -3c = -13 + -5 Combine like terms: -13 + -5 = -18 -3c = -18 Divide each side by '-3'. c = 6 Simplifying c = 6
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